数学科学研究所
Insitute of Mathematical Science

Seminar: On the constant scalar curvature Kähler metrics with cone like singularities along divisors

Seminar | Institute of Mathematical Sciences

Time:10:30-11:30, Jan. 3, Thursday

LocationLibrary 302


Speaker: Dr. Long Li, University of Iceland


In this talk, we will discuss the uniqueness and the existence problems for the constant scalar curvature Kähler (cscK) metrics with conic singularities along divisors, on a compact complex Kähler manifold. The uniqueness of these conic cscK metrics follows from the convexity of the so called conic-Mabuchi functional along geodesics in the space of all conic Kähler metrics. The proof of the existence traces back to a conic version of Chen's continuity path for cscK metrics, and we will establish all the sufficient a prior estimates to prove the closedness of this continuity path. 




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邮编:201210
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200031(岳阳路校区)